Jacobson took aim from outside the box to fire the Shrews into a 39th-minute lead and, after he limped off with a hamstring injury, it was left to substitute Liam McAlinden to seal only a third win of the season for Turner's team with an emphatic second goal 10 minutes from time.
Turner, who felt there were many positives to emerge for his side, insisted Jacobson's goal was something special.
"It was a terrific strike," said Turner. "You'll go a long way to see a shot like that - the power and accuracy of it. It set us going.
"He's capable of doing that. We've seen him strike one or two others like that before but not not quite hit the target like he has (today)."
Turner felt his team were full value for the result as they limited the Blades to very few chances.
He added: "It's not only the three points but it will have done the confidence the world of good. It's a relief for everybody, supporters, players, the staff, myself.
"It was a hard-earned three points and it couldn't have been any more difficult given the conditions. The team we were playing were decent so it's been a great afternoon's work.
"I was very pleased to see the second goal go in and it gave us a bit of breathing space.
"The build up began deep in our own half and it was the passing and movement. Connor Goldson did extremely well with his forward movement and the timing of his pass and it was a great finish from Liam, but he can do that."